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Incomplete information processing: a solution to the forward discount puzzle

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  • Philippe Bacchetta
  • Eric Van Wincoop

Abstract

The uncovered interest rate parity equation is the cornerstone of most models in international macro. However, this equation does not hold empirically since the forward discount, or interest rate differential, is negatively related to the subsequent change in the exchange rate. This forward discount puzzle implies that excess returns on foreign currency investments are predictable. In this paper we investigate to what extent incomplete information processing can explain this puzzle. We consider two types of incompleteness: infrequent and partial information processing. We calibrate a two-country general equilibrium model to the data and show that incomplete information processing can fully match the empirical evidence. It can also account for several related empirical phenomena, including that of \"delayed overshooting.\" We show that incomplete information processing is consistent both with evidence that little capital is devoted to actively managing short-term currency positions and with a small welfare gain from active portfolio management. The gain is small because exchange rate changes are very hard to predict. The welfare gain is easily outweighed by a small cost of active portfolio management.

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  • Philippe Bacchetta & Eric Van Wincoop, 2006. "Incomplete information processing: a solution to the forward discount puzzle," Working Paper Series 2006-35, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:2006-35
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    1. Perron, Pierre & Wada, Tatsuma, 2009. "Let's take a break: Trends and cycles in US real GDP," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 749-765, September.
    2. Martin Eichenbaum & Charles L. Evans, 1995. "Some Empirical Evidence on the Effects of Shocks to Monetary Policy on Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(4), pages 975-1009.
    3. Lucio Sarno & Giorgio Valente & Hyginus Leon, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," Review of Finance, European Finance Association, vol. 10(3), pages 443-482, September.
    4. Gourinchas, Pierre-Olivier & Tornell, Aaron, 2004. "Exchange rate puzzles and distorted beliefs," Journal of International Economics, Elsevier, vol. 64(2), pages 303-333, December.
    5. Mr. Akito Matsumoto & Mr. Charles Engel, 2005. "Portfolio Choice in a Monetary Open-Economy DSGE Model," IMF Working Papers 2005/165, International Monetary Fund.
    6. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    7. Bartosz Mackowiak & Mirko Wiederholt, 2009. "Optimal Sticky Prices under Rational Inattention," American Economic Review, American Economic Association, vol. 99(3), pages 769-803, June.
    8. Zhang, Linxiu & Huang, Jikun & Rozelle, Scott, 2002. "Employment, emerging labor markets, and the role of education in rural China," China Economic Review, Elsevier, vol. 13(2-3), pages 313-328.
    9. Kandel, Shmuel & Stambaugh, Robert F, 1996. "On the Predictability of Stock Returns: An Asset-Allocation Perspective," Journal of Finance, American Finance Association, vol. 51(2), pages 385-424, June.
    10. Campbell, John Y. & Yogo, Motohiro, 2006. "Efficient tests of stock return predictability," Journal of Financial Economics, Elsevier, vol. 81(1), pages 27-60, July.
    11. Richard K. Lyons, 2006. "The Microstructure Approach to Exchange Rates," MIT Press Books, The MIT Press, edition 1, volume 1, number 026262205x, December.
    12. Adrien Verdelhan, 2010. "A Habit‐Based Explanation of the Exchange Rate Risk Premium," Journal of Finance, American Finance Association, vol. 65(1), pages 123-146, February.
    13. McCallum, Bennett T., 1994. "A reconsideration of the uncovered interest parity relationship," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 105-132, February.
    14. Richard E. Baldwin, 1990. "Re-Interpreting the Failure of Foreign Exchange Market Efficiency Tests:Small Transaction Costs, Big Hysteresis Bands," NBER Working Papers 3319, National Bureau of Economic Research, Inc.
    15. McMillan, John & Whalley, John & Zhu, Lijing, 1989. "The Impact of China's Economic Reforms on Agricultural Productivity Growth," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 781-807, August.
    16. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
    17. Yannis Bilias & Dimitris Georgarakos & Michael Haliassos, 2010. "Portfolio Inertia and Stock Market Fluctuations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(4), pages 715-742, June.
    18. Reis, Ricardo, 2006. "Inattentive consumers," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1761-1800, November.
    19. Liu, Wei & Maynard, Alex, 2005. "Testing forward rate unbiasedness allowing for persistent regressors," Journal of Empirical Finance, Elsevier, vol. 12(5), pages 613-628, December.
    20. Philippe Bacchetta & Eric Van Wincoop, 2006. "Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?," American Economic Review, American Economic Association, vol. 96(3), pages 552-576, June.
    21. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    22. Jonathan B. Berk & Richard C. Green, 2004. "Mutual Fund Flows and Performance in Rational Markets," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1269-1295, December.
    23. Stambaugh, Robert F., 1999. "Predictive regressions," Journal of Financial Economics, Elsevier, vol. 54(3), pages 375-421, December.
    24. Jorgenson, Dale W. & Nomura, Koji, 2005. "The industry origins of Japanese economic growth," Journal of the Japanese and International Economies, Elsevier, vol. 19(4), pages 482-542, December.
    25. Cheung, Yin-Wong & Chinn, Menzie D. & Pascual, Antonio Garcia, 2005. "Empirical exchange rate models of the nineties: Are any fit to survive?," Journal of International Money and Finance, Elsevier, vol. 24(7), pages 1150-1175, November.
    26. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    27. Chaboud, Alain P. & Wright, Jonathan H., 2005. "Uncovered interest parity: it works, but not for long," Journal of International Economics, Elsevier, vol. 66(2), pages 349-362, July.
    28. Robert P. Flood & Andrew K. Rose, 2002. "Uncovered Interest Parity in Crisis," IMF Staff Papers, Palgrave Macmillan, vol. 49(2), pages 1-6.
    29. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2009. "Time-Varying Risk, Interest Rates, and Exchange Rates in General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 76(3), pages 851-878.
    30. Christopher D. Carroll, 2003. "Macroeconomic Expectations of Households and Professional Forecasters," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(1), pages 269-298.
    31. Gregory C. Chow, 1993. "Capital Formation and Economic Growth in China," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 809-842.
    32. Mark, Nelson C & Wu, Yangru, 1998. "Rethinking Deviations from Uncovered Interest Parity: The Role of Covariance Risk and Noise," Economic Journal, Royal Economic Society, vol. 108(451), pages 1686-1706, November.
    33. Li, Kui-Wai, 2003. "China's Capital and Productivity Measurement Using Financial Resources," Center Discussion Papers 28469, Yale University, Economic Growth Center.
    34. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 23(Q III), pages 36-58.
    35. Bekaert, Geert & Hodrick, Robert J. & Marshall, David A., 1997. "The implications of first-order risk aversion for asset market risk premiums," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 3-39, September.
    36. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    37. Kenneth Kasa, 2006. "Robustness and Information Processing," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 1-33, January.
    38. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    39. Ricardo Reis, 2006. "Inattentive Producers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 793-821.
    40. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    41. Philippe Bacchetta & Eric Van Wincoop, 2004. "A Scapegoat Model of Exchange-Rate Fluctuations," American Economic Review, American Economic Association, vol. 94(2), pages 114-118, May.
    42. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    43. Menzie D. Chinn & Guy Meredith, 2005. "Testing Uncovered Interest Parity at Short and Long Horizons during the Post-Bretton Woods Era," NBER Working Papers 11077, National Bureau of Economic Research, Inc.
    44. Chinn, Menzie D., 2006. "The (partial) rehabilitation of interest rate parity in the floating rate era: Longer horizons, alternative expectations, and emerging markets," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 7-21, February.
    45. Alwyn Young, 2003. "Gold into Base Metals: Productivity Growth in the People's Republic of China during the Reform Period," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1220-1261, December.
    46. Fisher, Eric O'N., 2006. "The forward premium in a model with heterogeneous prior beliefs," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 48-70, February.
    47. Michael J. Sager & Mark P. Taylor, 2006. "Under the microscope: the structure of the foreign exchange market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 11(1), pages 81-95.
    48. Ravi Jagannathan & Yong Wang, 2005. "Consumption Risk and the Cost of Equity Capital," NBER Working Papers 11026, National Bureau of Economic Research, Inc.
    49. Philip H. Dybvig & Heber K. Farnsworth & Jennifer N. Carpenter, 2010. "Portfolio Performance and Agency," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 1-23, January.
    50. Jeffrey A. Frankel, 1993. "On Exchange Rates," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061546, December.
    51. Jonathan A. Parker & Christian Julliard, 2005. "Consumption Risk and the Cross Section of Expected Returns," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 185-222, February.
    52. Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-192, Summer.
    53. David K. H. Begg & Isabella Imperato, 2001. "The Rationality of Information Gathering: Monopoly," Manchester School, University of Manchester, vol. 69(3), pages 237-252, June.
    54. Froot, Kenneth A. & O'Connell, Paul G. J. & Seasholes, Mark S., 2001. "The portfolio flows of international investors," Journal of Financial Economics, Elsevier, vol. 59(2), pages 151-193, February.
    55. Begg, David K H & Imperato, Isabella, 2001. "The Rationality of Information Gathering: Monopoly," Manchester School, University of Manchester, vol. 69(3), pages 237-252, June.
    56. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    57. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 433-495.
    58. Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
    59. David K. Backus & Silverio Foresi & Chris I. Telmer, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, February.
    60. Xavier Gabaix & David Laibson, 2002. "The 6D Bias and the Equity-Premium Puzzle," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 257-330, National Bureau of Economic Research, Inc.
    61. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    62. Carvalho, Carlos Viana de & Bonomo, Marco Antônio Cesar, 1999. "Endogenous time-dependent rules and inflation inertia: preliminary version," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 348, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    63. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    64. Duffie, Darrell & Sun, Tong-sheng, 1990. "Transactions costs and portfolio choice in a discrete-continuous-time setting," Journal of Economic Dynamics and Control, Elsevier, vol. 14(1), pages 35-51, February.
    65. Fan, Shenggen & Zhang, Xiaobo, 2002. "Production and Productivity Growth in Chinese Agriculture: New National and Regional Measures," Economic Development and Cultural Change, University of Chicago Press, vol. 50(4), pages 819-838, July.
    66. repec:pri:wwseco:dp232 is not listed on IDEAS
    67. Bonomo, Marco & Carvalho, Carlos, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1015-1041, December.
    68. Lynch, Anthony W, 1996. "Decision Frequency and Synchronization across Agents: Implications for Aggregate Consumption and Equity Return," Journal of Finance, American Finance Association, vol. 51(4), pages 1479-1497, September.
    69. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, February.
    70. Jacob Boudoukh & Matthew Richardson & Robert Whitelaw, 2005. "The Information in Long-Maturity Forward Rates: Implications for Exchange Rates and the Forward Premium Anomaly," NBER Working Papers 11840, National Bureau of Economic Research, Inc.
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